Abstract

Integrated optical filters having elliptic transfer functions are proposed using two-dimensional arrays of synchronously tuned mutually coupled microring resonators. Analysis of microring filter topologies of the most general form is facilitated by the formulation of an energy-coupling matrix for the microring array. A method for synthesizing elliptic microring filter transfer functions having the prescribed transmission poles and zeros is also presented. The approach involves representing the microring filter by an equivalent electrical network of coupled LC oscillators and applying the coupling matrix technique developed for micro-wave filters to determine the coupling parameters. An example of a sixth-order elliptic function filter is presented to demonstrate the feasibility of using mutually coupled microring resonators to realize optical filters having finite transmission zeros in the transfer function.

© 2007 IEEE

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  2. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J.-P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).
  3. A. Melloni, M. Martinelli, "Synthesis of direct-coupled-resonators bandpass filters for WDM systems," J. Lightw. Technol. 20, 296-303 (2002).
  4. V. Van, "Circuit-based method for synthesizing serially-coupled microring filters," J. Lightw. Technol. 24, 2912-2919 (2006).
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  6. B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, M. Trakalo, "Very high order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
  7. K. Jinguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides," J. Lightw. Technol. 14, 1882-1898 (1996).
  8. C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass design," IEEE Photon. Technol. Lett. 10, 1136-1138 (1998).
  9. C. K. Madsen, "General IIR optical filter design for WDM applications using all-pass filters," J. Lightw. Technol. 18, 860-868 (2000).
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  11. R. J. Cameron, "General coupling matrix synthesis methods for Chebyshev filtering functions," IEEE Trans. Microw. Theory Tech. 47, 433-442 (1999).
  12. H. Y.-F. Lam, Analog and Digital Filters: Design and Realization (Prentice-Hall, 1979).
  13. G. Strang, Linear Algebra and Its Applications (Harcourt Brace Jovanovich, 1988).
  14. M. G. Ellis, Electronic Filter Analysis and Synthesis (Artech House, 1994).

2006 (1)

V. Van, "Circuit-based method for synthesizing serially-coupled microring filters," J. Lightw. Technol. 24, 2912-2919 (2006).

2004 (1)

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, M. Trakalo, "Very high order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).

2002 (1)

A. Melloni, M. Martinelli, "Synthesis of direct-coupled-resonators bandpass filters for WDM systems," J. Lightw. Technol. 20, 296-303 (2002).

2000 (2)

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, P.-T. Ho, "Higher order filter response in coupled microring resonators," IEEE Photon. Technol. Lett. 12, 320-322 (2000).

C. K. Madsen, "General IIR optical filter design for WDM applications using all-pass filters," J. Lightw. Technol. 18, 860-868 (2000).

1999 (1)

R. J. Cameron, "General coupling matrix synthesis methods for Chebyshev filtering functions," IEEE Trans. Microw. Theory Tech. 47, 433-442 (1999).

1998 (1)

C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass design," IEEE Photon. Technol. Lett. 10, 1136-1138 (1998).

1997 (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J.-P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).

1996 (1)

K. Jinguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides," J. Lightw. Technol. 14, 1882-1898 (1996).

1995 (1)

R. Orta, P. Savi, R. Tascone, D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE Photon. Technol. Lett. 7, 1447-1449 (1995).

1974 (1)

A. E. Atia, A. E. Williams, R. W. Newcomb, "Narrow-band multiple-coupled cavity synthesis," IEEE Trans. Circuits Syst. CAS-21, 649-655 (1974).

IEEE Photon. Technol. Lett. (4)

R. Orta, P. Savi, R. Tascone, D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE Photon. Technol. Lett. 7, 1447-1449 (1995).

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, P.-T. Ho, "Higher order filter response in coupled microring resonators," IEEE Photon. Technol. Lett. 12, 320-322 (2000).

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, M. Trakalo, "Very high order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).

C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass design," IEEE Photon. Technol. Lett. 10, 1136-1138 (1998).

IEEE Trans. Circuits Syst. (1)

A. E. Atia, A. E. Williams, R. W. Newcomb, "Narrow-band multiple-coupled cavity synthesis," IEEE Trans. Circuits Syst. CAS-21, 649-655 (1974).

IEEE Trans. Microw. Theory Tech. (1)

R. J. Cameron, "General coupling matrix synthesis methods for Chebyshev filtering functions," IEEE Trans. Microw. Theory Tech. 47, 433-442 (1999).

J. Lightw. Technol. (5)

C. K. Madsen, "General IIR optical filter design for WDM applications using all-pass filters," J. Lightw. Technol. 18, 860-868 (2000).

K. Jinguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides," J. Lightw. Technol. 14, 1882-1898 (1996).

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J.-P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).

A. Melloni, M. Martinelli, "Synthesis of direct-coupled-resonators bandpass filters for WDM systems," J. Lightw. Technol. 20, 296-303 (2002).

V. Van, "Circuit-based method for synthesizing serially-coupled microring filters," J. Lightw. Technol. 24, 2912-2919 (2006).

Other (3)

H. Y.-F. Lam, Analog and Digital Filters: Design and Realization (Prentice-Hall, 1979).

G. Strang, Linear Algebra and Its Applications (Harcourt Brace Jovanovich, 1988).

M. G. Ellis, Electronic Filter Analysis and Synthesis (Artech House, 1994).

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